What is the Greatest Common Factor of 13071 and 13083?

Greatest common factor (GCF) of 13071 and 13083 is 3.

GCF(13071,13083) = 3

We will now calculate the prime factors of 13071 and 13083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13071 and 13083.

How to find the GCF of 13071 and 13083?

We will first find the prime factorization of 13071 and 13083. After we will calculate the factors of 13071 and 13083 and find the biggest common factor number .

Step-1: Prime Factorization of 13071

Prime factors of 13071 are 3, 4357. Prime factorization of 13071 in exponential form is:

13071 = 3¹ × 4357¹

Step-2: Prime Factorization of 13083

Prime factors of 13083 are 3, 7, 89. Prime factorization of 13083 in exponential form is:

13083 = 3¹ × 7² × 89¹

Step-3: Factors of 13071

List of positive integer factors of 13071 that divides 13071 without a remainder.

1, 3, 4357

Step-4: Factors of 13083

List of positive integer factors of 13083 that divides 13071 without a remainder.

1, 3, 7, 21, 49, 89, 147, 267, 623, 1869, 4361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13071 and 13083. The biggest common factor number is the GCF number.
So the greatest common factor 13071 and 13083 is 3.

Also check out the Least Common Multiple of 13071 and 13083